Riemannian median and its estimation
نویسندگان
چکیده
منابع مشابه
Riemannian Median and Its Estimation
In this paper, we define the geometric median of a probability measure on a Riemannian manifold, give its characterization and a natural condition to ensure its uniqueness. In order to calculate the median in practical cases, we also propose a subgradient algorithm and prove its convergence as well as estimating the error of approximation and the rate of convergence. The convergence property of...
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Introduction. The geometric median is a classic robust estimator of centrality for data in Euclidean spaces, and it has been generalized in analytical manifold in [1]. Recently, an intrinsic Riemannian framework for Orientation Distribution Function (ODF) was proposed for the calculation in ODF field [2]. In this work, we prove the unique existence of the Riemannian median in ODF space. Then we...
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Article history: Received 20 October 2011 Received in revised form 2 July 2012 Accepted 15 July 2012 Available online xxxx
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ژورنال
عنوان ژورنال: LMS Journal of Computation and Mathematics
سال: 2010
ISSN: 1461-1570
DOI: 10.1112/s1461157020090531